To calculate the distance between the points $(-3, 0)$ and $(2, 0)$, we use the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

For the points $(-3, 0)$ and $(2, 0)$:

• $x_1 = -3$, $y_1 = 0$
• $x_2 = 2$, $y_2 = 0$

Plugging these values into the formula, we get:

$d = \sqrt{(2 - (-3))^2 + (0 - 0)^2}$

Simplifying this:

$d = \sqrt{(2 + 3)^2 + 0^2}$ $d = \sqrt{5^2}$ $d = \sqrt{25}$ $d = 5$

Therefore, the distance between the points is 5 units.

Would you like further details or have any questions?

Here are some related questions to consider:

1. How do you find the midpoint between two points on a coordinate plane?
2. What is the distance formula and how is it derived from the Pythagorean theorem?
3. How would the calculation change if the points were in three-dimensional space?
4. Can the distance formula be applied to points with decimal or fractional coordinates?
5. What other real-life applications are there for calculating the distance between points?

Tip: Remember that the distance formula is based on the Pythagorean theorem, which applies to any two points on a plane.